13121010 has 96 divisors (see below), whose sum is σ = 39761280. Its totient is φ = 2939904.

The previous prime is 13120999. The next prime is 13121033. The reversal of 13121010 is 1012131.

13121010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13120983 and 13121001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36994 + ... + 37346.

It is an arithmetic number, because the mean of its divisors is an integer number (414180).

Almost surely, 2^13121010 is an apocalyptic number.

13121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880640).

13121010 is an abundant number, since it is smaller than the sum of its proper divisors (26640270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121010 is a wasteful number, since it uses less digits than its factorization.

13121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 13121010 is about 3622.2934723735. The cubic root of 13121010 is about 235.8607936104.

Adding to 13121010 its reverse (1012131), we get a palindrome (14133141).

The spelling of 13121010 in words is "thirteen million, one hundred twenty-one thousand, ten".